PassNova has 25 free 11+ Maths practice questions on Arithmetic, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Arithmetic: example questions & answers
25 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
What is 4 + 6 × 3?
- A30
- B27
- C13
- D22✓
Answer: Multiplication comes before addition, so work out 6 × 3 = 18 first, then add 4 to get 22. Doing it left to right gives 30, which is the usual mistake.
What is 7 + 5 × 2?
- A24
- B37
- C14
- D17✓
Answer: Multiplication comes before addition, so work out 5 × 2 = 10 first, then add 7 to get 17. Doing it left to right gives 24, which is the usual mistake.
What is 9 + 4 × 6?
- A78
- B33✓
- C42
- D19
Answer: Multiplication comes before addition, so work out 4 × 6 = 24 first, then add 9 to get 33. Doing it left to right gives 78, which is the usual mistake.
What is 8 + 7 × 5?
- A75
- B43✓
- C61
- D20
Answer: Multiplication comes before addition, so work out 7 × 5 = 35 first, then add 8 to get 43. Doing it left to right gives 75, which is the usual mistake.
What is 6 + 9 × 4?
- A60
- B58
- C19
- D42✓
Answer: Multiplication comes before addition, so work out 9 × 4 = 36 first, then add 6 to get 42. Doing it left to right gives 60, which is the usual mistake.
What is 5 + 8 × 7?
- A91
- B61✓
- C47
- D20
Answer: Multiplication comes before addition, so work out 8 × 7 = 56 first, then add 5 to get 61. Doing it left to right gives 91, which is the usual mistake.
What is 60 ÷ 5 + 3?
- A7
- B15✓
- C9
- D36
Answer: Divide before you add: 60 ÷ 5 = 12, then add 3 to get 15.
What is 48 ÷ 6 + 4?
- A12✓
- B4
- C32
- D13
Answer: Divide before you add: 48 ÷ 6 = 8, then add 4 to get 12.
What is 72 ÷ 8 + 5?
- A5
- B4
- C14✓
- D45
Answer: Divide before you add: 72 ÷ 8 = 9, then add 5 to get 14.
What is 90 ÷ 9 + 7?
- A17✓
- B5
- C3
- D70
Answer: Divide before you add: 90 ÷ 9 = 10, then add 7 to get 17.
What is (10 + 5) × 2?
- A20
- B30✓
- C25
- D17
Answer: Brackets first: 10 + 5 = 15, then multiply by 2 to get 30. Without the brackets you would multiply first and get 20 instead.
What is (12 + 4) × 3?
- A24
- B40
- C19
- D48✓
Answer: Brackets first: 12 + 4 = 16, then multiply by 3 to get 48. Without the brackets you would multiply first and get 24 instead.
What is (15 + 3) × 4?
- A27
- B72✓
- C63
- D22
Answer: Brackets first: 15 + 3 = 18, then multiply by 4 to get 72. Without the brackets you would multiply first and get 27 instead.
What is (20 + 6) × 2?
- A52✓
- B32
- C46
- D28
Answer: Brackets first: 20 + 6 = 26, then multiply by 2 to get 52. Without the brackets you would multiply first and get 32 instead.
What is 7²?
- A49✓
- B14
- C42
- D56
Answer: 7² means 7 × 7, which is 49. It does not mean 7 × 2 = 14 — that is a very common slip.
What is 8²?
- A64✓
- B16
- C56
- D72
Answer: 8² means 8 × 8, which is 64. It does not mean 8 × 2 = 16 — that is a very common slip.
What is 9²?
- A18
- B81✓
- C72
- D90
Answer: 9² means 9 × 9, which is 81. It does not mean 9 × 2 = 18 — that is a very common slip.
What is 12²?
- A24
- B132
- C156
- D144✓
Answer: 12² means 12 × 12, which is 144. It does not mean 12 × 2 = 24 — that is a very common slip.
What is 13²?
- A26
- B156
- C182
- D169✓
Answer: 13² means 13 × 13, which is 169. It does not mean 13 × 2 = 26 — that is a very common slip.
What is 15²?
- A30
- B210
- C240
- D225✓
Answer: 15² means 15 × 15, which is 225. It does not mean 15 × 2 = 30 — that is a very common slip.
What is √16?
- A4✓
- B8
- C5
- D3
Answer: √16 asks which number multiplied by itself gives 16. 4 × 4 = 16, so the answer is 4.
What is √25?
- A5✓
- B12
- C6
- D4
Answer: √25 asks which number multiplied by itself gives 25. 5 × 5 = 25, so the answer is 5.
What is √49?
- A24
- B8
- C6
- D7✓
Answer: √49 asks which number multiplied by itself gives 49. 7 × 7 = 49, so the answer is 7.
What is √81?
- A40
- B10
- C8
- D9✓
Answer: √81 asks which number multiplied by itself gives 81. 9 × 9 = 81, so the answer is 9.
What is √144?
- A12✓
- B72
- C13
- D11
Answer: √144 asks which number multiplied by itself gives 144. 12 × 12 = 144, so the answer is 12.